Results 31 to 40 of about 218 (81)

(p,q)-Generalization of Szasz-Mirakyan Operators

, 2015
In this paper, we introduce new modifications of Szasz-Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4.
Acar, Tuncer
core   +1 more source

Approximation of functions of two variables by certain linear positive operators

, 2007
We introduce certain linear positive operators and study some approximation properties of these operators in the space of functions, continuous on a compact set, of two variables.
Bascanbaz-Tunca, Gulen, Olgun, Ali, Tasdelen, Fatma   +2 more
core   +1 more source

Korovkin Type Theorem for Sequences of Operators Depending on a Parameter

Demonstratio Mathematica, 2015
We establish necessary and sufficient conditions for a parameter depending sequence (Ln,λ)n≥1 of positive linear operators such that (Ln,λ)n≥1 converges in the strong operator topology to its limit operator.
Finta Zoltán
doaj   +1 more source

Bézier Form of Quantum λ‐Bernstein–Schurer Operators With Associated Approximation Properties

Journal of Mathematics, Volume 2026, Issue 1, 2026.
We introduce a Bézier form of Schurer‐type modification of the quantum λ‐Bernstein operators, extending the classical Schurer operators through the Bézier basis with shape parameter −1 ≤ λ ≤ 1. By applying Korovkin’s theorem, we obtain both global and local approximation results.
Jabr Aljedani, Md. Nasiruzzaman, S. A. Mohiuddine, Ding-Xuan Zhou   +3 more
wiley   +1 more source

On Various Modes of Convergence and Notions of Exhaustiveness With Korovkin‐Type Theorems

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce refined notions related to convergence and exhaustiveness for sequences of functions defined between metric spaces. These include rigid uniform alpha convergence as a strengthened variant of alpha convergence, along with uniform sequential exhaustiveness, rigid uniform exhaustiveness, Cauchy exhaustiveness, and rigid Cauchy ...
Alper Erdem, Tuncay Tunç, Smritijit Sen
wiley   +1 more source

Dunkl Generalization of q-Parametric Szasz-Mirakjan Operators

International Journal of Analysis and Applications, 2017
In this paper, we construct q-parametric Szász-Mirakjan operators generated by the q-Dunkl generalization of the exponential function. We obtain Korovkin’s type approximation theorem and compute convergence of these operators by using the modulus of ...
M. Mursaleen, Md. Nasiruzzaman, A.A.H. Al-Abied   +2 more
doaj   +2 more sources

Approximation by ψ‐Baskakov‐Kantorovich Operators

Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13552-13562, 30 September 2025.
ABSTRACT In this paper, we introduce a new family of Baskakov‐Kantorovich operators that depend on a function ψ$$ \psi $$. We compare these new ψ$$ \psi $$‐Baskakov‐Kantorovich operators with the classical Baskakov‐Kantorovich operators to evaluate their approximation results.
Hüseyin Aktuğlu, Mustafa Kara, Erdem Baytunç   +2 more
wiley   +1 more source

Persistence barcodes and Laplace eigenfunctions on surfaces

, 2019
We obtain restrictions on the persistence barcodes of Laplace-Beltrami eigenfunctions and their linear combinations on compact surfaces with Riemannian metrics.
Polterovich, Iosif, Polterovich, Leonid, Stojisavljević, Vukašin   +2 more
core   +1 more source

Simultaneous approximation by neural network operators with applications to Voronovskaja formulas

Mathematische Nachrichten, Volume 298, Issue 3, Page 871-885, March 2025.
Abstract In this paper, we considered the problem of the simultaneous approximation of a function and its derivatives by means of the well‐known neural network (NN) operators activated by the sigmoidal function. Other than a uniform convergence theorem for the derivatives of NN operators, we also provide a quantitative estimate for the order of ...
Marco Cantarini, Danilo Costarelli
wiley   +1 more source

Approximation properties by shifted knots type of α-Bernstein–Kantorovich–Stancu operators

Journal of Inequalities and Applications
Through the real polynomials of the shifted knots, the α-Bernstein–Kantorovich operators are studied in their Stancu form, and the approximation properties are obtained.
Md. Nasiruzzaman, Mohammad Dilshad, Bader Mufadhi Eid Albalawi, Mohammad Rehan Ajmal   +3 more
doaj   +1 more source